`{:(y = 2x - 6),(y = 0):}`

Answer

To solve the equations \( y = 2x - 6 \) and \( y = 0 \), we will follow these steps:

### Step 1: Identify the equations
We have two equations:
1. \( y = 2x - 6 \) (Equation 1)
2. \( y = 0 \) (Equation 2)

### Step 2: Substitute the value of \( y \) from Equation 2 into Equation 1
Since Equation 2 states that \( y = 0 \), we can substitute this value into Equation 1:
\[ 0 = 2x - 6 \]

### Step 3: Solve for \( x \)
Now, we will solve the equation \( 0 = 2x - 6 \):
1. Add 6 to both sides:
\[ 6 = 2x \]
2. Divide both sides by 2:
\[ x = \frac{6}{2} = 3 \]

### Step 4: Write the solution
Now that we have found \( x = 3 \), we can also state the value of \( y \) from Equation 2:
\[ y = 0 \]
Thus, the solution to the system of equations is:
\[ (x, y) = (3, 0) \]

### Final Answer
The solution to the equations \( y = 2x - 6 \) and \( y = 0 \) is \( (3, 0) \).

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